TSTP Solution File: SEU297+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SEU297+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 13:30:45 EDT 2022
% Result : Timeout 300.02s 300.30s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU297+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 00:24:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/0.99 ============================== Prover9 ===============================
% 0.72/0.99 Prover9 (32) version 2009-11A, November 2009.
% 0.72/0.99 Process 2820 was started by sandbox on n022.cluster.edu,
% 0.72/0.99 Sun Jun 19 00:24:32 2022
% 0.72/0.99 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2664_n022.cluster.edu".
% 0.72/0.99 ============================== end of head ===========================
% 0.72/0.99
% 0.72/0.99 ============================== INPUT =================================
% 0.72/0.99
% 0.72/0.99 % Reading from file /tmp/Prover9_2664_n022.cluster.edu
% 0.72/0.99
% 0.72/0.99 set(prolog_style_variables).
% 0.72/0.99 set(auto2).
% 0.72/0.99 % set(auto2) -> set(auto).
% 0.72/0.99 % set(auto) -> set(auto_inference).
% 0.72/0.99 % set(auto) -> set(auto_setup).
% 0.72/0.99 % set(auto_setup) -> set(predicate_elim).
% 0.72/0.99 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.72/0.99 % set(auto) -> set(auto_limits).
% 0.72/0.99 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.72/0.99 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.72/0.99 % set(auto) -> set(auto_denials).
% 0.72/0.99 % set(auto) -> set(auto_process).
% 0.72/0.99 % set(auto2) -> assign(new_constants, 1).
% 0.72/0.99 % set(auto2) -> assign(fold_denial_max, 3).
% 0.72/0.99 % set(auto2) -> assign(max_weight, "200.000").
% 0.72/0.99 % set(auto2) -> assign(max_hours, 1).
% 0.72/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.72/0.99 % set(auto2) -> assign(max_seconds, 0).
% 0.72/0.99 % set(auto2) -> assign(max_minutes, 5).
% 0.72/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.72/0.99 % set(auto2) -> set(sort_initial_sos).
% 0.72/0.99 % set(auto2) -> assign(sos_limit, -1).
% 0.72/0.99 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.72/0.99 % set(auto2) -> assign(max_megs, 400).
% 0.72/0.99 % set(auto2) -> assign(stats, some).
% 0.72/0.99 % set(auto2) -> clear(echo_input).
% 0.72/0.99 % set(auto2) -> set(quiet).
% 0.72/0.99 % set(auto2) -> clear(print_initial_clauses).
% 0.72/0.99 % set(auto2) -> clear(print_given).
% 0.72/0.99 assign(lrs_ticks,-1).
% 0.72/0.99 assign(sos_limit,10000).
% 0.72/0.99 assign(order,kbo).
% 0.72/0.99 set(lex_order_vars).
% 0.72/0.99 clear(print_given).
% 0.72/0.99
% 0.72/0.99 % formulas(sos). % not echoed (37 formulas)
% 0.72/0.99
% 0.72/0.99 ============================== end of input ==========================
% 0.72/0.99
% 0.72/0.99 % From the command line: assign(max_seconds, 300).
% 0.72/0.99
% 0.72/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.72/0.99
% 0.72/0.99 % Formulas that are not ordinary clauses:
% 0.72/0.99 1 (all A exists B (element(B,powerset(A)) & empty(B) & relation(B) & function(B) & one_to_one(B) & epsilon_transitive(B) & epsilon_connected(B) & ordinal(B) & natural(B) & finite(B))) # label(rc2_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/0.99 2 (exists A (-empty(A) & epsilon_transitive(A) & epsilon_connected(A) & ordinal(A) & natural(A))) # label(rc1_arytm_3) # label(axiom) # label(non_clause). [assumption].
% 0.72/0.99 3 (exists A (-empty(A) & finite(A))) # label(rc1_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/0.99 4 (all A (-empty(A) -> (exists B (element(B,powerset(A)) & -empty(B) & finite(B))))) # label(rc3_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/0.99 5 (all A (finite(A) -> (all B (element(B,powerset(A)) -> finite(B))))) # label(cc2_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/0.99 6 (all A all B (relation(A) & function(A) & finite(B) -> finite(relation_image(A,B)))) # label(fc13_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/0.99 7 (exists A (relation(A) & function(A) & one_to_one(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/0.99 8 (all A (ordinal(A) -> (all B (element(B,A) -> epsilon_transitive(B) & epsilon_connected(B) & ordinal(B))))) # label(cc1_arytm_3) # label(axiom) # label(non_clause). [assumption].
% 0.72/0.99 9 (all A (empty(A) & ordinal(A) -> epsilon_transitive(A) & epsilon_connected(A) & ordinal(A) & natural(A))) # label(cc2_arytm_3) # label(axiom) # label(non_clause). [assumption].
% 0.72/0.99 10 (all A (ordinal(A) -> epsilon_transitive(A) & epsilon_connected(A))) # label(cc1_ordinal1) # label(axiom) # label(non_clause). [assumption].
% 0.72/0.99 11 (all A (epsilon_transitive(A) & epsilon_connected(A) -> ordinal(A))) # label(cc2_ordinal1) # label(axiom) # label(non_clause). [assumption].
% 0.72/0.99 12 (exists A (epsilon_transitive(A) & epsilon_connected(A) & ordinal(A))) # label(rc1_ordinal1) # label(axiom) # label(non_clause). [assumption].
% 0.72/0.99 13 (exists A (relation(A) & function(A) & one_to_one(A) & empty(A) & epsilon_transitive(A) & epsilon_connected(A) & ordinal(A))) # label(rc2_ordinal1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 14 (exists A (-empty(A) & epsilon_transitive(A) & epsilon_connected(A) & ordinal(A))) # label(rc3_ordinal1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 15 (all A (empty(A) -> finite(A))) # label(cc1_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 16 (all A (empty(A) -> function(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 17 (exists A (relation(A) & empty(A) & function(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 18 (all A (relation(A) & empty(A) & function(A) -> relation(A) & function(A) & one_to_one(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 19 (exists A (empty(A) & relation(A))) # label(rc1_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 20 (all A (empty(A) -> relation(A))) # label(cc1_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 21 (exists A (-empty(A) & relation(A))) # label(rc2_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 22 (all A (-empty(A) & relation(A) -> -empty(relation_dom(A)))) # label(fc5_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 23 (all A (empty(A) -> empty(relation_dom(A)) & relation(relation_dom(A)))) # label(fc7_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 24 (all A (empty(A) -> epsilon_transitive(A) & epsilon_connected(A) & ordinal(A))) # label(cc3_ordinal1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 25 (all A (-empty(A) -> (exists B (element(B,powerset(A)) & -empty(B))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 26 (all A exists B (element(B,powerset(A)) & empty(B))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 27 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 28 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 29 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 30 $T # label(dt_k1_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 31 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 32 $T # label(dt_k9_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 33 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 34 (exists A (relation(A) & function(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 35 (all A -empty(powerset(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 36 (all A all B all C (element(B,powerset(powerset(A))) & relation(C) & function(C) -> ((all D all E all F (D = E & in(relation_image(C,E),B) & D = F & in(relation_image(C,F),B) -> E = F)) -> (exists D all E (in(E,D) <-> (exists F (in(F,powerset(relation_dom(C))) & F = E & in(relation_image(C,E),B)))))))) # label(s1_tarski__e6_27__finset_1__1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.00 37 -(all A all B all C (element(B,powerset(powerset(A))) & relation(C) & function(C) -> (exists D all E (in(E,D) <-> in(E,powerset(relation_dom(C))) & in(relation_image(C,E),B))))) # label(s1_xboole_0__e6_27__finset_1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.72/1.00
% 0.72/1.00 ============================== end of process non-clausal formulas ===
% 0.72/1.00
% 0.72/1.00 ============================== PROCESS INITIAL CLAUSES ===============
% 0.72/1.00
% 0.72/1.00 ============================== PREDICATE ELIMINATION =================
% 0.72/1.00 38 -relation(A) | -function(A) | -finite(B) | finite(relation_image(A,B)) # label(fc13_finset_1) # label(axiom). [clausify(6)].
% 0.72/1.00 39 relation(f1(A)) # label(rc2_finset_1) # label(axiom). [clausify(1)].
% 0.72/1.00 Derived: -function(f1(A)) | -finite(B) | finite(relation_image(f1(A),B)). [resolve(38,a,39,a)].
% 0.72/1.00 40 relation(c3) # label(rc3_funct_1) # label(axiom). [clausify(7)].
% 0.72/1.00 Derived: -function(c3) | -finite(A) | finite(relation_image(c3,A)). [resolve(40,a,38,a)].
% 0.72/1.00 41 relation(c5) # label(rc2_ordinal1) # label(axiom). [clausify(13)].
% 0.72/1.00 Derived: -function(c5) | -finite(A) | finite(relation_image(c5,A)). [resolve(41,a,38,a)].
% 0.72/1.00 42 relation(c7) # label(rc2_funct_1) # label(axiom). [clausify(17)].
% 0.72/1.00 Derived: -function(c7) | -finite(A) | finite(relation_image(c7,A)). [resolve(42,a,38,a)].
% 0.72/1.00 43 -relation(A) | -empty(A) | -function(A) | one_to_one(A) # label(cc2_funct_1) # label(axiom). [clausify(18)].
% 0.72/1.00 Derived: -empty(f1(A)) | -function(f1(A)) | one_to_one(f1(A)). [resolve(43,a,39,a)].
% 0.72/1.00 Derived: -empty(c3) | -function(c3) | one_to_one(c3). [resolve(43,a,40,a)].
% 0.72/1.00 Derived: -empty(c5) | -function(c5) | one_to_one(c5). [resolve(43,a,41,a)].
% 0.72/1.00 Derived: -empty(c7) | -function(c7) | one_to_one(c7). [resolve(43,a,42,a)].
% 0.72/1.00 44 relation(c8) # label(rc1_relat_1) # label(axiom). [clausify(19)].
% 0.72/1.00 Derived: -function(c8) | -finite(A) | finite(relation_image(c8,A)). [resolve(44,a,38,a)].
% 0.72/1.00 Derived: -empty(c8) | -function(c8) | one_to_one(c8). [resolve(44,a,43,a)].
% 0.72/1.00 45 -empty(A) | relation(A) # label(cc1_relat_1) # label(axiom). [clausify(20)].
% 0.72/1.00 Derived: -empty(A) | -function(A) | -finite(B) | finite(relation_image(A,B)). [resolve(45,b,38,a)].
% 0.72/1.00 Derived: -empty(A) | -empty(A) | -function(A) | one_to_one(A). [resolve(45,b,43,a)].
% 0.72/1.00 46 relation(c9) # label(rc2_relat_1) # label(axiom). [clausify(21)].
% 0.72/1.00 Derived: -function(c9) | -finite(A) | finite(relation_image(c9,A)). [resolve(46,a,38,a)].
% 0.72/1.00 47 empty(A) | -relation(A) | -empty(relation_dom(A)) # label(fc5_relat_1) # label(axiom). [clausify(22)].
% 0.72/1.00 Derived: empty(f1(A)) | -empty(relation_dom(f1(A))). [resolve(47,b,39,a)].
% 0.72/1.00 Derived: empty(c3) | -empty(relation_dom(c3)). [resolve(47,b,40,a)].
% 0.72/1.00 Derived: empty(c5) | -empty(relation_dom(c5)). [resolve(47,b,41,a)].
% 0.72/1.00 Derived: empty(c7) | -empty(relation_dom(c7)). [resolve(47,b,42,a)].
% 0.72/1.00 Derived: empty(c8) | -empty(relation_dom(c8)). [resolve(47,b,44,a)].
% 0.72/1.00 Derived: empty(c9) | -empty(relation_dom(c9)). [resolve(47,b,46,a)].
% 0.72/1.00 48 -empty(A) | relation(relation_dom(A)) # label(fc7_relat_1) # label(axiom). [clausify(23)].
% 0.72/1.00 Derived: -empty(A) | -function(relation_dom(A)) | -finite(B) | finite(relation_image(relation_dom(A),B)). [resolve(48,b,38,a)].
% 0.72/1.00 Derived: -empty(A) | empty(relation_dom(A)) | -empty(relation_dom(relation_dom(A))). [resolve(48,b,47,b)].
% 0.72/1.00 49 relation(c12) # label(rc1_funct_1) # label(axiom). [clausify(34)].
% 0.72/1.00 Derived: -function(c12) | -finite(A) | finite(relation_image(c12,A)). [resolve(49,a,38,a)].
% 0.72/1.00 Derived: empty(c12) | -empty(relation_dom(c12)). [resolve(49,a,47,b)].
% 0.72/1.00 50 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | f6(B,A,C) = f5(B,A,C) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),powerset(relation_dom(C))) # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | f6(B,A,f1(C)) = f5(B,A,f1(C)) | -in(D,f8(B,A,f1(C))) | in(f9(B,A,f1(C),D),powerset(relation_dom(f1(C)))). [resolve(50,b,39,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c3) | f6(B,A,c3) = f5(B,A,c3) | -in(C,f8(B,A,c3)) | in(f9(B,A,c3,C),powerset(relation_dom(c3))). [resolve(50,b,40,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c5) | f6(B,A,c5) = f5(B,A,c5) | -in(C,f8(B,A,c5)) | in(f9(B,A,c5,C),powerset(relation_dom(c5))). [resolve(50,b,41,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c7) | f6(B,A,c7) = f5(B,A,c7) | -in(C,f8(B,A,c7)) | in(f9(B,A,c7,C),powerset(relation_dom(c7))). [resolve(50,b,42,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c8) | f6(B,A,c8) = f5(B,A,c8) | -in(C,f8(B,A,c8)) | in(f9(B,A,c8,C),powerset(relation_dom(c8))). [resolve(50,b,44,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(C) | f6(B,A,C) = f5(B,A,C) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),powerset(relation_dom(C))) | -empty(C). [resolve(50,b,45,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c9) | f6(B,A,c9) = f5(B,A,c9) | -in(C,f8(B,A,c9)) | in(f9(B,A,c9,C),powerset(relation_dom(c9))). [resolve(50,b,46,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | f6(B,A,relation_dom(C)) = f5(B,A,relation_dom(C)) | -in(D,f8(B,A,relation_dom(C))) | in(f9(B,A,relation_dom(C),D),powerset(relation_dom(relation_dom(C)))) | -empty(C). [resolve(50,b,48,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c12) | f6(B,A,c12) = f5(B,A,c12) | -in(C,f8(B,A,c12)) | in(f9(B,A,c12,C),powerset(relation_dom(c12))). [resolve(50,b,49,a)].
% 0.72/1.00 51 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | f6(B,A,C) = f5(B,A,C) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | f6(B,A,f1(C)) = f5(B,A,f1(C)) | -in(D,f8(B,A,f1(C))) | f9(B,A,f1(C),D) = D. [resolve(51,b,39,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c3) | f6(B,A,c3) = f5(B,A,c3) | -in(C,f8(B,A,c3)) | f9(B,A,c3,C) = C. [resolve(51,b,40,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c5) | f6(B,A,c5) = f5(B,A,c5) | -in(C,f8(B,A,c5)) | f9(B,A,c5,C) = C. [resolve(51,b,41,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c7) | f6(B,A,c7) = f5(B,A,c7) | -in(C,f8(B,A,c7)) | f9(B,A,c7,C) = C. [resolve(51,b,42,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c8) | f6(B,A,c8) = f5(B,A,c8) | -in(C,f8(B,A,c8)) | f9(B,A,c8,C) = C. [resolve(51,b,44,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(C) | f6(B,A,C) = f5(B,A,C) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D | -empty(C). [resolve(51,b,45,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c9) | f6(B,A,c9) = f5(B,A,c9) | -in(C,f8(B,A,c9)) | f9(B,A,c9,C) = C. [resolve(51,b,46,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | f6(B,A,relation_dom(C)) = f5(B,A,relation_dom(C)) | -in(D,f8(B,A,relation_dom(C))) | f9(B,A,relation_dom(C),D) = D | -empty(C). [resolve(51,b,48,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c12) | f6(B,A,c12) = f5(B,A,c12) | -in(C,f8(B,A,c12)) | f9(B,A,c12,C) = C. [resolve(51,b,49,a)].
% 0.72/1.00 52 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | f6(B,A,C) = f5(B,A,C) | -in(D,f8(B,A,C)) | in(relation_image(C,D),A) # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | f6(B,A,f1(C)) = f5(B,A,f1(C)) | -in(D,f8(B,A,f1(C))) | in(relation_image(f1(C),D),A). [resolve(52,b,39,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c3) | f6(B,A,c3) = f5(B,A,c3) | -in(C,f8(B,A,c3)) | in(relation_image(c3,C),A). [resolve(52,b,40,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c5) | f6(B,A,c5) = f5(B,A,c5) | -in(C,f8(B,A,c5)) | in(relation_image(c5,C),A). [resolve(52,b,41,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c7) | f6(B,A,c7) = f5(B,A,c7) | -in(C,f8(B,A,c7)) | in(relation_image(c7,C),A). [resolve(52,b,42,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c8) | f6(B,A,c8) = f5(B,A,c8) | -in(C,f8(B,A,c8)) | in(relation_image(c8,C),A). [resolve(52,b,44,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(C) | f6(B,A,C) = f5(B,A,C) | -in(D,f8(B,A,C)) | in(relation_image(C,D),A) | -empty(C). [resolve(52,b,45,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c9) | f6(B,A,c9) = f5(B,A,c9) | -in(C,f8(B,A,c9)) | in(relation_image(c9,C),A). [resolve(52,b,46,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | f6(B,A,relation_dom(C)) = f5(B,A,relation_dom(C)) | -in(D,f8(B,A,relation_dom(C))) | in(relation_image(relation_dom(C),D),A) | -empty(C). [resolve(52,b,48,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c12) | f6(B,A,c12) = f5(B,A,c12) | -in(C,f8(B,A,c12)) | in(relation_image(c12,C),A). [resolve(52,b,49,a)].
% 0.72/1.00 53 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | f6(B,A,C) = f5(B,A,C) | in(D,f8(B,A,C)) | -in(E,powerset(relation_dom(C))) | E != D | -in(relation_image(C,D),A) # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | f6(B,A,f1(C)) = f5(B,A,f1(C)) | in(D,f8(B,A,f1(C))) | -in(E,powerset(relation_dom(f1(C)))) | E != D | -in(relation_image(f1(C),D),A). [resolve(53,b,39,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c3) | f6(B,A,c3) = f5(B,A,c3) | in(C,f8(B,A,c3)) | -in(D,powerset(relation_dom(c3))) | D != C | -in(relation_image(c3,C),A). [resolve(53,b,40,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c5) | f6(B,A,c5) = f5(B,A,c5) | in(C,f8(B,A,c5)) | -in(D,powerset(relation_dom(c5))) | D != C | -in(relation_image(c5,C),A). [resolve(53,b,41,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c7) | f6(B,A,c7) = f5(B,A,c7) | in(C,f8(B,A,c7)) | -in(D,powerset(relation_dom(c7))) | D != C | -in(relation_image(c7,C),A). [resolve(53,b,42,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c8) | f6(B,A,c8) = f5(B,A,c8) | in(C,f8(B,A,c8)) | -in(D,powerset(relation_dom(c8))) | D != C | -in(relation_image(c8,C),A). [resolve(53,b,44,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(C) | f6(B,A,C) = f5(B,A,C) | in(D,f8(B,A,C)) | -in(E,powerset(relation_dom(C))) | E != D | -in(relation_image(C,D),A) | -empty(C). [resolve(53,b,45,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c9) | f6(B,A,c9) = f5(B,A,c9) | in(C,f8(B,A,c9)) | -in(D,powerset(relation_dom(c9))) | D != C | -in(relation_image(c9,C),A). [resolve(53,b,46,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | f6(B,A,relation_dom(C)) = f5(B,A,relation_dom(C)) | in(D,f8(B,A,relation_dom(C))) | -in(E,powerset(relation_dom(relation_dom(C)))) | E != D | -in(relation_image(relation_dom(C),D),A) | -empty(C). [resolve(53,b,48,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c12) | f6(B,A,c12) = f5(B,A,c12) | in(C,f8(B,A,c12)) | -in(D,powerset(relation_dom(c12))) | D != C | -in(relation_image(c12,C),A). [resolve(53,b,49,a)].
% 0.72/1.00 54 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | in(relation_image(C,f6(B,A,C)),A) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),powerset(relation_dom(C))) # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | in(relation_image(f1(C),f6(B,A,f1(C))),A) | -in(D,f8(B,A,f1(C))) | in(f9(B,A,f1(C),D),powerset(relation_dom(f1(C)))). [resolve(54,b,39,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c3) | in(relation_image(c3,f6(B,A,c3)),A) | -in(C,f8(B,A,c3)) | in(f9(B,A,c3,C),powerset(relation_dom(c3))). [resolve(54,b,40,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c5) | in(relation_image(c5,f6(B,A,c5)),A) | -in(C,f8(B,A,c5)) | in(f9(B,A,c5,C),powerset(relation_dom(c5))). [resolve(54,b,41,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c7) | in(relation_image(c7,f6(B,A,c7)),A) | -in(C,f8(B,A,c7)) | in(f9(B,A,c7,C),powerset(relation_dom(c7))). [resolve(54,b,42,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c8) | in(relation_image(c8,f6(B,A,c8)),A) | -in(C,f8(B,A,c8)) | in(f9(B,A,c8,C),powerset(relation_dom(c8))). [resolve(54,b,44,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(C) | in(relation_image(C,f6(B,A,C)),A) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),powerset(relation_dom(C))) | -empty(C). [resolve(54,b,45,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c9) | in(relation_image(c9,f6(B,A,c9)),A) | -in(C,f8(B,A,c9)) | in(f9(B,A,c9,C),powerset(relation_dom(c9))). [resolve(54,b,46,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | in(relation_image(relation_dom(C),f6(B,A,relation_dom(C))),A) | -in(D,f8(B,A,relation_dom(C))) | in(f9(B,A,relation_dom(C),D),powerset(relation_dom(relation_dom(C)))) | -empty(C). [resolve(54,b,48,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c12) | in(relation_image(c12,f6(B,A,c12)),A) | -in(C,f8(B,A,c12)) | in(f9(B,A,c12,C),powerset(relation_dom(c12))). [resolve(54,b,49,a)].
% 0.72/1.00 55 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | in(relation_image(C,f6(B,A,C)),A) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | in(relation_image(f1(C),f6(B,A,f1(C))),A) | -in(D,f8(B,A,f1(C))) | f9(B,A,f1(C),D) = D. [resolve(55,b,39,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c3) | in(relation_image(c3,f6(B,A,c3)),A) | -in(C,f8(B,A,c3)) | f9(B,A,c3,C) = C. [resolve(55,b,40,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c5) | in(relation_image(c5,f6(B,A,c5)),A) | -in(C,f8(B,A,c5)) | f9(B,A,c5,C) = C. [resolve(55,b,41,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c7) | in(relation_image(c7,f6(B,A,c7)),A) | -in(C,f8(B,A,c7)) | f9(B,A,c7,C) = C. [resolve(55,b,42,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c8) | in(relation_image(c8,f6(B,A,c8)),A) | -in(C,f8(B,A,c8)) | f9(B,A,c8,C) = C. [resolve(55,b,44,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(C) | in(relation_image(C,f6(B,A,C)),A) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D | -empty(C). [resolve(55,b,45,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c9) | in(relation_image(c9,f6(B,A,c9)),A) | -in(C,f8(B,A,c9)) | f9(B,A,c9,C) = C. [resolve(55,b,46,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | in(relation_image(relation_dom(C),f6(B,A,relation_dom(C))),A) | -in(D,f8(B,A,relation_dom(C))) | f9(B,A,relation_dom(C),D) = D | -empty(C). [resolve(55,b,48,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c12) | in(relation_image(c12,f6(B,A,c12)),A) | -in(C,f8(B,A,c12)) | f9(B,A,c12,C) = C. [resolve(55,b,49,a)].
% 0.72/1.00 56 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | in(relation_image(C,f6(B,A,C)),A) | -in(D,f8(B,A,C)) | in(relation_image(C,D),A) # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | in(relation_image(f1(C),f6(B,A,f1(C))),A) | -in(D,f8(B,A,f1(C))) | in(relation_image(f1(C),D),A). [resolve(56,b,39,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c3) | in(relation_image(c3,f6(B,A,c3)),A) | -in(C,f8(B,A,c3)) | in(relation_image(c3,C),A). [resolve(56,b,40,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c5) | in(relation_image(c5,f6(B,A,c5)),A) | -in(C,f8(B,A,c5)) | in(relation_image(c5,C),A). [resolve(56,b,41,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c7) | in(relation_image(c7,f6(B,A,c7)),A) | -in(C,f8(B,A,c7)) | in(relation_image(c7,C),A). [resolve(56,b,42,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c8) | in(relation_image(c8,f6(B,A,c8)),A) | -in(C,f8(B,A,c8)) | in(relation_image(c8,C),A). [resolve(56,b,44,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(C) | in(relation_image(C,f6(B,A,C)),A) | -in(D,f8(B,A,C)) | in(relation_image(C,D),A) | -empty(C). [resolve(56,b,45,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c9) | in(relation_image(c9,f6(B,A,c9)),A) | -in(C,f8(B,A,c9)) | in(relation_image(c9,C),A). [resolve(56,b,46,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | in(relation_image(relation_dom(C),f6(B,A,relation_dom(C))),A) | -in(D,f8(B,A,relation_dom(C))) | in(relation_image(relation_dom(C),D),A) | -empty(C). [resolve(56,b,48,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c12) | in(relation_image(c12,f6(B,A,c12)),A) | -in(C,f8(B,A,c12)) | in(relation_image(c12,C),A). [resolve(56,b,49,a)].
% 0.72/1.00 57 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | in(relation_image(C,f6(B,A,C)),A) | in(D,f8(B,A,C)) | -in(E,powerset(relation_dom(C))) | E != D | -in(relation_image(C,D),A) # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | in(relation_image(f1(C),f6(B,A,f1(C))),A) | in(D,f8(B,A,f1(C))) | -in(E,powerset(relation_dom(f1(C)))) | E != D | -in(relation_image(f1(C),D),A). [resolve(57,b,39,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c3) | in(relation_image(c3,f6(B,A,c3)),A) | in(C,f8(B,A,c3)) | -in(D,powerset(relation_dom(c3))) | D != C | -in(relation_image(c3,C),A). [resolve(57,b,40,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c5) | in(relation_image(c5,f6(B,A,c5)),A) | in(C,f8(B,A,c5)) | -in(D,powerset(relation_dom(c5))) | D != C | -in(relation_image(c5,C),A). [resolve(57,b,41,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c7) | in(relation_image(c7,f6(B,A,c7)),A) | in(C,f8(B,A,c7)) | -in(D,powerset(relation_dom(c7))) | D != C | -in(relation_image(c7,C),A). [resolve(57,b,42,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c8) | in(relation_image(c8,f6(B,A,c8)),A) | in(C,f8(B,A,c8)) | -in(D,powerset(relation_dom(c8))) | D != C | -in(relation_image(c8,C),A). [resolve(57,b,44,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(C) | in(relation_image(C,f6(B,A,C)),A) | in(D,f8(B,A,C)) | -in(E,powerset(relation_dom(C))) | E != D | -in(relation_image(C,D),A) | -empty(C). [resolve(57,b,45,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c9) | in(relation_image(c9,f6(B,A,c9)),A) | in(C,f8(B,A,c9)) | -in(D,powerset(relation_dom(c9))) | D != C | -in(relation_image(c9,C),A). [resolve(57,b,46,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | in(relation_image(relation_dom(C),f6(B,A,relation_dom(C))),A) | in(D,f8(B,A,relation_dom(C))) | -in(E,powerset(relation_dom(relation_dom(C)))) | E != D | -in(relation_image(relation_dom(C),D),A) | -empty(C). [resolve(57,b,48,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c12) | in(relation_image(c12,f6(B,A,c12)),A) | in(C,f8(B,A,c12)) | -in(D,powerset(relation_dom(c12))) | D != C | -in(relation_image(c12,C),A). [resolve(57,b,49,a)].
% 0.72/1.00 58 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | f7(B,A,C) = f5(B,A,C) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),powerset(relation_dom(C))) # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | f7(B,A,f1(C)) = f5(B,A,f1(C)) | -in(D,f8(B,A,f1(C))) | in(f9(B,A,f1(C),D),powerset(relation_dom(f1(C)))). [resolve(58,b,39,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c3) | f7(B,A,c3) = f5(B,A,c3) | -in(C,f8(B,A,c3)) | in(f9(B,A,c3,C),powerset(relation_dom(c3))). [resolve(58,b,40,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c5) | f7(B,A,c5) = f5(B,A,c5) | -in(C,f8(B,A,c5)) | in(f9(B,A,c5,C),powerset(relation_dom(c5))). [resolve(58,b,41,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c7) | f7(B,A,c7) = f5(B,A,c7) | -in(C,f8(B,A,c7)) | in(f9(B,A,c7,C),powerset(relation_dom(c7))). [resolve(58,b,42,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c8) | f7(B,A,c8) = f5(B,A,c8) | -in(C,f8(B,A,c8)) | in(f9(B,A,c8,C),powerset(relation_dom(c8))). [resolve(58,b,44,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(C) | f7(B,A,C) = f5(B,A,C) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),powerset(relation_dom(C))) | -empty(C). [resolve(58,b,45,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c9) | f7(B,A,c9) = f5(B,A,c9) | -in(C,f8(B,A,c9)) | in(f9(B,A,c9,C),powerset(relation_dom(c9))). [resolve(58,b,46,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | f7(B,A,relation_dom(C)) = f5(B,A,relation_dom(C)) | -in(D,f8(B,A,relation_dom(C))) | in(f9(B,A,relation_dom(C),D),powerset(relation_dom(relation_dom(C)))) | -empty(C). [resolve(58,b,48,b)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c12) | f7(B,A,c12) = f5(B,A,c12) | -in(C,f8(B,A,c12)) | in(f9(B,A,c12,C),powerset(relation_dom(c12))). [resolve(58,b,49,a)].
% 0.72/1.00 59 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | f7(B,A,C) = f5(B,A,C) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | f7(B,A,f1(C)) = f5(B,A,f1(C)) | -in(D,f8(B,A,f1(C))) | f9(B,A,f1(C),D) = D. [resolve(59,b,39,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c3) | f7(B,A,c3) = f5(B,A,c3) | -in(C,f8(B,A,c3)) | f9(B,A,c3,C) = C. [resolve(59,b,40,a)].
% 0.72/1.00 Derived: -element(A,powerset(powerset(B))) | -function(c5) | f7(B,A,c5) = f5(B,A,c5) | -in(C,f8(B,A,c5)) | f9(B,A,c5,C) = C. [resolve(59,b,41,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c7) | f7(B,A,c7) = f5(B,A,c7) | -in(C,f8(B,A,c7)) | f9(B,A,c7,C) = C. [resolve(59,b,42,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c8) | f7(B,A,c8) = f5(B,A,c8) | -in(C,f8(B,A,c8)) | f9(B,A,c8,C) = C. [resolve(59,b,44,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(C) | f7(B,A,C) = f5(B,A,C) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D | -empty(C). [resolve(59,b,45,b)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c9) | f7(B,A,c9) = f5(B,A,c9) | -in(C,f8(B,A,c9)) | f9(B,A,c9,C) = C. [resolve(59,b,46,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | f7(B,A,relation_dom(C)) = f5(B,A,relation_dom(C)) | -in(D,f8(B,A,relation_dom(C))) | f9(B,A,relation_dom(C),D) = D | -empty(C). [resolve(59,b,48,b)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c12) | f7(B,A,c12) = f5(B,A,c12) | -in(C,f8(B,A,c12)) | f9(B,A,c12,C) = C. [resolve(59,b,49,a)].
% 0.72/1.01 60 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | f7(B,A,C) = f5(B,A,C) | -in(D,f8(B,A,C)) | in(relation_image(C,D),A) # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | f7(B,A,f1(C)) = f5(B,A,f1(C)) | -in(D,f8(B,A,f1(C))) | in(relation_image(f1(C),D),A). [resolve(60,b,39,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c3) | f7(B,A,c3) = f5(B,A,c3) | -in(C,f8(B,A,c3)) | in(relation_image(c3,C),A). [resolve(60,b,40,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c5) | f7(B,A,c5) = f5(B,A,c5) | -in(C,f8(B,A,c5)) | in(relation_image(c5,C),A). [resolve(60,b,41,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c7) | f7(B,A,c7) = f5(B,A,c7) | -in(C,f8(B,A,c7)) | in(relation_image(c7,C),A). [resolve(60,b,42,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c8) | f7(B,A,c8) = f5(B,A,c8) | -in(C,f8(B,A,c8)) | in(relation_image(c8,C),A). [resolve(60,b,44,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(C) | f7(B,A,C) = f5(B,A,C) | -in(D,f8(B,A,C)) | in(relation_image(C,D),A) | -empty(C). [resolve(60,b,45,b)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c9) | f7(B,A,c9) = f5(B,A,c9) | -in(C,f8(B,A,c9)) | in(relation_image(c9,C),A). [resolve(60,b,46,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | f7(B,A,relation_dom(C)) = f5(B,A,relation_dom(C)) | -in(D,f8(B,A,relation_dom(C))) | in(relation_image(relation_dom(C),D),A) | -empty(C). [resolve(60,b,48,b)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c12) | f7(B,A,c12) = f5(B,A,c12) | -in(C,f8(B,A,c12)) | in(relation_image(c12,C),A). [resolve(60,b,49,a)].
% 0.72/1.01 61 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | f7(B,A,C) = f5(B,A,C) | in(D,f8(B,A,C)) | -in(E,powerset(relation_dom(C))) | E != D | -in(relation_image(C,D),A) # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | f7(B,A,f1(C)) = f5(B,A,f1(C)) | in(D,f8(B,A,f1(C))) | -in(E,powerset(relation_dom(f1(C)))) | E != D | -in(relation_image(f1(C),D),A). [resolve(61,b,39,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c3) | f7(B,A,c3) = f5(B,A,c3) | in(C,f8(B,A,c3)) | -in(D,powerset(relation_dom(c3))) | D != C | -in(relation_image(c3,C),A). [resolve(61,b,40,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c5) | f7(B,A,c5) = f5(B,A,c5) | in(C,f8(B,A,c5)) | -in(D,powerset(relation_dom(c5))) | D != C | -in(relation_image(c5,C),A). [resolve(61,b,41,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c7) | f7(B,A,c7) = f5(B,A,c7) | in(C,f8(B,A,c7)) | -in(D,powerset(relation_dom(c7))) | D != C | -in(relation_image(c7,C),A). [resolve(61,b,42,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c8) | f7(B,A,c8) = f5(B,A,c8) | in(C,f8(B,A,c8)) | -in(D,powerset(relation_dom(c8))) | D != C | -in(relation_image(c8,C),A). [resolve(61,b,44,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(C) | f7(B,A,C) = f5(B,A,C) | in(D,f8(B,A,C)) | -in(E,powerset(relation_dom(C))) | E != D | -in(relation_image(C,D),A) | -empty(C). [resolve(61,b,45,b)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c9) | f7(B,A,c9) = f5(B,A,c9) | in(C,f8(B,A,c9)) | -in(D,powerset(relation_dom(c9))) | D != C | -in(relation_image(c9,C),A). [resolve(61,b,46,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | f7(B,A,relation_dom(C)) = f5(B,A,relation_dom(C)) | in(D,f8(B,A,relation_dom(C))) | -in(E,powerset(relation_dom(relation_dom(C)))) | E != D | -in(relation_image(relation_dom(C),D),A) | -empty(C). [resolve(61,b,48,b)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c12) | f7(B,A,c12) = f5(B,A,c12) | in(C,f8(B,A,c12)) | -in(D,powerset(relation_dom(c12))) | D != C | -in(relation_image(c12,C),A). [resolve(61,b,49,a)].
% 0.72/1.01 62 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | in(relation_image(C,f7(B,A,C)),A) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),powerset(relation_dom(C))) # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | in(relation_image(f1(C),f7(B,A,f1(C))),A) | -in(D,f8(B,A,f1(C))) | in(f9(B,A,f1(C),D),powerset(relation_dom(f1(C)))). [resolve(62,b,39,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c3) | in(relation_image(c3,f7(B,A,c3)),A) | -in(C,f8(B,A,c3)) | in(f9(B,A,c3,C),powerset(relation_dom(c3))). [resolve(62,b,40,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c5) | in(relation_image(c5,f7(B,A,c5)),A) | -in(C,f8(B,A,c5)) | in(f9(B,A,c5,C),powerset(relation_dom(c5))). [resolve(62,b,41,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c7) | in(relation_image(c7,f7(B,A,c7)),A) | -in(C,f8(B,A,c7)) | in(f9(B,A,c7,C),powerset(relation_dom(c7))). [resolve(62,b,42,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c8) | in(relation_image(c8,f7(B,A,c8)),A) | -in(C,f8(B,A,c8)) | in(f9(B,A,c8,C),powerset(relation_dom(c8))). [resolve(62,b,44,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(C) | in(relation_image(C,f7(B,A,C)),A) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),powerset(relation_dom(C))) | -empty(C). [resolve(62,b,45,b)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c9) | in(relation_image(c9,f7(B,A,c9)),A) | -in(C,f8(B,A,c9)) | in(f9(B,A,c9,C),powerset(relation_dom(c9))). [resolve(62,b,46,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | in(relation_image(relation_dom(C),f7(B,A,relation_dom(C))),A) | -in(D,f8(B,A,relation_dom(C))) | in(f9(B,A,relation_dom(C),D),powerset(relation_dom(relation_dom(C)))) | -empty(C). [resolve(62,b,48,b)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c12) | in(relation_image(c12,f7(B,A,c12)),A) | -in(C,f8(B,A,c12)) | in(f9(B,A,c12,C),powerset(relation_dom(c12))). [resolve(62,b,49,a)].
% 0.72/1.01 63 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | in(relation_image(C,f7(B,A,C)),A) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | in(relation_image(f1(C),f7(B,A,f1(C))),A) | -in(D,f8(B,A,f1(C))) | f9(B,A,f1(C),D) = D. [resolve(63,b,39,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c3) | in(relation_image(c3,f7(B,A,c3)),A) | -in(C,f8(B,A,c3)) | f9(B,A,c3,C) = C. [resolve(63,b,40,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c5) | in(relation_image(c5,f7(B,A,c5)),A) | -in(C,f8(B,A,c5)) | f9(B,A,c5,C) = C. [resolve(63,b,41,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c7) | in(relation_image(c7,f7(B,A,c7)),A) | -in(C,f8(B,A,c7)) | f9(B,A,c7,C) = C. [resolve(63,b,42,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c8) | in(relation_image(c8,f7(B,A,c8)),A) | -in(C,f8(B,A,c8)) | f9(B,A,c8,C) = C. [resolve(63,b,44,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(C) | in(relation_image(C,f7(B,A,C)),A) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D | -empty(C). [resolve(63,b,45,b)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c9) | in(relation_image(c9,f7(B,A,c9)),A) | -in(C,f8(B,A,c9)) | f9(B,A,c9,C) = C. [resolve(63,b,46,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | in(relation_image(relation_dom(C),f7(B,A,relation_dom(C))),A) | -in(D,f8(B,A,relation_dom(C))) | f9(B,A,relation_dom(C),D) = D | -empty(C). [resolve(63,b,48,b)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c12) | in(relation_image(c12,f7(B,A,c12)),A) | -in(C,f8(B,A,c12)) | f9(B,A,c12,C) = C. [resolve(63,b,49,a)].
% 0.72/1.01 64 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | in(relation_image(C,f7(B,A,C)),A) | -in(D,f8(B,A,C)) | in(relation_image(C,D),A) # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | in(relation_image(f1(C),f7(B,A,f1(C))),A) | -in(D,f8(B,A,f1(C))) | in(relation_image(f1(C),D),A). [resolve(64,b,39,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c3) | in(relation_image(c3,f7(B,A,c3)),A) | -in(C,f8(B,A,c3)) | in(relation_image(c3,C),A). [resolve(64,b,40,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c5) | in(relation_image(c5,f7(B,A,c5)),A) | -in(C,f8(B,A,c5)) | in(relation_image(c5,C),A). [resolve(64,b,41,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c7) | in(relation_image(c7,f7(B,A,c7)),A) | -in(C,f8(B,A,c7)) | in(relation_image(c7,C),A). [resolve(64,b,42,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c8) | in(relation_image(c8,f7(B,A,c8)),A) | -in(C,f8(B,A,c8)) | in(relation_image(c8,C),A). [resolve(64,b,44,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(C) | in(relation_image(C,f7(B,A,C)),A) | -in(D,f8(B,A,C)) | in(relation_image(C,D),A) | -empty(C). [resolve(64,b,45,b)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c9) | in(relation_image(c9,f7(B,A,c9)),A) | -in(C,f8(B,A,c9)) | in(relation_image(c9,C),A). [resolve(64,b,46,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | in(relation_image(relation_dom(C),f7(B,A,relation_dom(C))),A) | -in(D,f8(B,A,relation_dom(C))) | in(relation_image(relation_dom(C),D),A) | -empty(C). [resolve(64,b,48,b)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c12) | in(relation_image(c12,f7(B,A,c12)),A) | -in(C,f8(B,A,c12)) | in(relation_image(c12,C),A). [resolve(64,b,49,a)].
% 0.72/1.01 65 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | in(relation_image(C,f7(B,A,C)),A) | in(D,f8(B,A,C)) | -in(E,powerset(relation_dom(C))) | E != D | -in(relation_image(C,D),A) # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | in(relation_image(f1(C),f7(B,A,f1(C))),A) | in(D,f8(B,A,f1(C))) | -in(E,powerset(relation_dom(f1(C)))) | E != D | -in(relation_image(f1(C),D),A). [resolve(65,b,39,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c3) | in(relation_image(c3,f7(B,A,c3)),A) | in(C,f8(B,A,c3)) | -in(D,powerset(relation_dom(c3))) | D != C | -in(relation_image(c3,C),A). [resolve(65,b,40,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c5) | in(relation_image(c5,f7(B,A,c5)),A) | in(C,f8(B,A,c5)) | -in(D,powerset(relation_dom(c5))) | D != C | -in(relation_image(c5,C),A). [resolve(65,b,41,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c7) | in(relation_image(c7,f7(B,A,c7)),A) | in(C,f8(B,A,c7)) | -in(D,powerset(relation_dom(c7))) | D != C | -in(relation_image(c7,C),A). [resolve(65,b,42,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c8) | in(relation_image(c8,f7(B,A,c8)),A) | in(C,f8(B,A,c8)) | -in(D,powerset(relation_dom(c8))) | D != C | -in(relation_image(c8,C),A). [resolve(65,b,44,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(C) | in(relation_image(C,f7(B,A,C)),A) | in(D,f8(B,A,C)) | -in(E,powerset(relation_dom(C))) | E != D | -in(relation_image(C,D),A) | -empty(C). [resolve(65,b,45,b)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c9) | in(relation_image(c9,f7(B,A,c9)),A) | in(C,f8(B,A,c9)) | -in(D,powerset(relation_dom(c9))) | D != C | -in(relation_image(c9,C),A). [resolve(65,b,46,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | in(relation_image(relation_dom(C),f7(B,A,relation_dom(C))),A) | in(D,f8(B,A,relation_dom(C))) | -in(E,powerset(relation_dom(relation_dom(C)))) | E != D | -in(relation_image(relation_dom(C),D),A) | -empty(C). [resolve(65,b,48,b)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c12) | in(relation_image(c12,f7(B,A,c12)),A) | in(C,f8(B,A,c12)) | -in(D,powerset(relation_dom(c12))) | D != C | -in(relation_image(c12,C),A). [resolve(65,b,49,a)].
% 0.72/1.01 66 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | f7(B,A,C) != f6(B,A,C) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),powerset(relation_dom(C))) # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | f7(B,A,f1(C)) != f6(B,A,f1(C)) | -in(D,f8(B,A,f1(C))) | in(f9(B,A,f1(C),D),powerset(relation_dom(f1(C)))). [resolve(66,b,39,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c3) | f7(B,A,c3) != f6(B,A,c3) | -in(C,f8(B,A,c3)) | in(f9(B,A,c3,C),powerset(relation_dom(c3))). [resolve(66,b,40,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c5) | f7(B,A,c5) != f6(B,A,c5) | -in(C,f8(B,A,c5)) | in(f9(B,A,c5,C),powerset(relation_dom(c5))). [resolve(66,b,41,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c7) | f7(B,A,c7) != f6(B,A,c7) | -in(C,f8(B,A,c7)) | in(f9(B,A,c7,C),powerset(relation_dom(c7))). [resolve(66,b,42,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c8) | f7(B,A,c8) != f6(B,A,c8) | -in(C,f8(B,A,c8)) | in(f9(B,A,c8,C),powerset(relation_dom(c8))). [resolve(66,b,44,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(C) | f7(B,A,C) != f6(B,A,C) | -in(D,f8(B,A,C)) | in(f9(B,A,C,D),powerset(relation_dom(C))) | -empty(C). [resolve(66,b,45,b)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c9) | f7(B,A,c9) != f6(B,A,c9) | -in(C,f8(B,A,c9)) | in(f9(B,A,c9,C),powerset(relation_dom(c9))). [resolve(66,b,46,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | f7(B,A,relation_dom(C)) != f6(B,A,relation_dom(C)) | -in(D,f8(B,A,relation_dom(C))) | in(f9(B,A,relation_dom(C),D),powerset(relation_dom(relation_dom(C)))) | -empty(C). [resolve(66,b,48,b)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c12) | f7(B,A,c12) != f6(B,A,c12) | -in(C,f8(B,A,c12)) | in(f9(B,A,c12,C),powerset(relation_dom(c12))). [resolve(66,b,49,a)].
% 0.72/1.01 67 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | f7(B,A,C) != f6(B,A,C) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | f7(B,A,f1(C)) != f6(B,A,f1(C)) | -in(D,f8(B,A,f1(C))) | f9(B,A,f1(C),D) = D. [resolve(67,b,39,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c3) | f7(B,A,c3) != f6(B,A,c3) | -in(C,f8(B,A,c3)) | f9(B,A,c3,C) = C. [resolve(67,b,40,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c5) | f7(B,A,c5) != f6(B,A,c5) | -in(C,f8(B,A,c5)) | f9(B,A,c5,C) = C. [resolve(67,b,41,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c7) | f7(B,A,c7) != f6(B,A,c7) | -in(C,f8(B,A,c7)) | f9(B,A,c7,C) = C. [resolve(67,b,42,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c8) | f7(B,A,c8) != f6(B,A,c8) | -in(C,f8(B,A,c8)) | f9(B,A,c8,C) = C. [resolve(67,b,44,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(C) | f7(B,A,C) != f6(B,A,C) | -in(D,f8(B,A,C)) | f9(B,A,C,D) = D | -empty(C). [resolve(67,b,45,b)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(c9) | f7(B,A,c9) != f6(B,A,c9) | -in(C,f8(B,A,c9)) | f9(B,A,c9,C) = C. [resolve(67,b,46,a)].
% 0.72/1.01 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | f7(B,A,relation_dom(C)) != f6(B,A,relation_dom(C)) | -in(D,f8(B,A,relation_dom(C))) | f9(B,A,relation_dom(C),D) = D | -empty(C). [resolve(67,b,48,b)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(c12) | f7(B,A,c12) != f6(B,A,c12) | -in(C,f8(B,A,c12)) | f9(B,A,c12,C) = C. [resolve(67,b,49,a)].
% 0.72/1.02 68 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | f7(B,A,C) != f6(B,A,C) | -in(D,f8(B,A,C)) | in(relation_image(C,D),A) # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | f7(B,A,f1(C)) != f6(B,A,f1(C)) | -in(D,f8(B,A,f1(C))) | in(relation_image(f1(C),D),A). [resolve(68,b,39,a)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(c3) | f7(B,A,c3) != f6(B,A,c3) | -in(C,f8(B,A,c3)) | in(relation_image(c3,C),A). [resolve(68,b,40,a)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(c5) | f7(B,A,c5) != f6(B,A,c5) | -in(C,f8(B,A,c5)) | in(relation_image(c5,C),A). [resolve(68,b,41,a)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(c7) | f7(B,A,c7) != f6(B,A,c7) | -in(C,f8(B,A,c7)) | in(relation_image(c7,C),A). [resolve(68,b,42,a)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(c8) | f7(B,A,c8) != f6(B,A,c8) | -in(C,f8(B,A,c8)) | in(relation_image(c8,C),A). [resolve(68,b,44,a)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(C) | f7(B,A,C) != f6(B,A,C) | -in(D,f8(B,A,C)) | in(relation_image(C,D),A) | -empty(C). [resolve(68,b,45,b)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(c9) | f7(B,A,c9) != f6(B,A,c9) | -in(C,f8(B,A,c9)) | in(relation_image(c9,C),A). [resolve(68,b,46,a)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | f7(B,A,relation_dom(C)) != f6(B,A,relation_dom(C)) | -in(D,f8(B,A,relation_dom(C))) | in(relation_image(relation_dom(C),D),A) | -empty(C). [resolve(68,b,48,b)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(c12) | f7(B,A,c12) != f6(B,A,c12) | -in(C,f8(B,A,c12)) | in(relation_image(c12,C),A). [resolve(68,b,49,a)].
% 0.72/1.02 69 -element(A,powerset(powerset(B))) | -relation(C) | -function(C) | f7(B,A,C) != f6(B,A,C) | in(D,f8(B,A,C)) | -in(E,powerset(relation_dom(C))) | E != D | -in(relation_image(C,D),A) # label(s1_tarski__e6_27__finset_1__1) # label(axiom). [clausify(36)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(f1(C)) | f7(B,A,f1(C)) != f6(B,A,f1(C)) | in(D,f8(B,A,f1(C))) | -in(E,powerset(relation_dom(f1(C)))) | E != D | -in(relation_image(f1(C),D),A). [resolve(69,b,39,a)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(c3) | f7(B,A,c3) != f6(B,A,c3) | in(C,f8(B,A,c3)) | -in(D,powerset(relation_dom(c3))) | D != C | -in(relation_image(c3,C),A). [resolve(69,b,40,a)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(c5) | f7(B,A,c5) != f6(B,A,c5) | in(C,f8(B,A,c5)) | -in(D,powerset(relation_dom(c5))) | D != C | -in(relation_image(c5,C),A). [resolve(69,b,41,a)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(c7) | f7(B,A,c7) != f6(B,A,c7) | in(C,f8(B,A,c7)) | -in(D,powerset(relation_dom(c7))) | D != C | -in(relation_image(c7,C),A). [resolve(69,b,42,a)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(c8) | f7(B,A,c8) != f6(B,A,c8) | in(C,f8(B,A,c8)) | -in(D,powerset(relation_dom(c8))) | D != C | -in(relation_image(c8,C),A). [resolve(69,b,44,a)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(C) | f7(B,A,C) != f6(B,A,C) | in(D,f8(B,A,C)) | -in(E,powerset(relation_dom(C))) | E != D | -in(relation_image(C,D),A) | -empty(C). [resolve(69,b,45,b)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(c9) | f7(B,A,c9) != f6(B,A,c9) | in(C,f8(B,A,c9)) | -in(D,powerset(relation_dom(c9))) | D != C | -in(relation_image(c9,C),A). [resolve(69,b,46,a)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(relation_dom(C)) | f7(B,A,relation_dom(C)) != f6(B,A,relation_dom(C)) | in(D,f8(B,A,relation_dom(C))) | -in(E,powerset(relation_dom(relation_dom(C)))) | E != D | -in(relation_image(relation_dom(C),D),A) | -empty(C). [resolve(69,b,48,b)].
% 0.72/1.02 Derived: -element(A,powerset(powerset(B))) | -function(c12) | f7(B,A,c12) != f6(B,A,c12) | in(C,f8(B,A,c12)) | -in(D,powerset(relation_dom(c12))) | D != C | -in(relation_image(c12,C),A). [resolve(69,b,49,a)].
% 0.72/1.04 70 relation(c15) # label(s1_xboole_0__e6_27__finset_1) # label(negated_conjecture). [clausify(37)].
% 0.72/1.04 Derived: -function(c15) | -finite(A) | finite(relation_image(c15,A)). [resolve(70,a,38,a)].
% 0.72/1.04 Derived: empty(c15) | -empty(relation_dom(c15)). [resolve(70,a,47,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | f6(B,A,c15) = f5(B,A,c15) | -in(C,f8(B,A,c15)) | in(f9(B,A,c15,C),powerset(relation_dom(c15))). [resolve(70,a,50,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | f6(B,A,c15) = f5(B,A,c15) | -in(C,f8(B,A,c15)) | f9(B,A,c15,C) = C. [resolve(70,a,51,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | f6(B,A,c15) = f5(B,A,c15) | -in(C,f8(B,A,c15)) | in(relation_image(c15,C),A). [resolve(70,a,52,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | f6(B,A,c15) = f5(B,A,c15) | in(C,f8(B,A,c15)) | -in(D,powerset(relation_dom(c15))) | D != C | -in(relation_image(c15,C),A). [resolve(70,a,53,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | in(relation_image(c15,f6(B,A,c15)),A) | -in(C,f8(B,A,c15)) | in(f9(B,A,c15,C),powerset(relation_dom(c15))). [resolve(70,a,54,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | in(relation_image(c15,f6(B,A,c15)),A) | -in(C,f8(B,A,c15)) | f9(B,A,c15,C) = C. [resolve(70,a,55,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | in(relation_image(c15,f6(B,A,c15)),A) | -in(C,f8(B,A,c15)) | in(relation_image(c15,C),A). [resolve(70,a,56,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | in(relation_image(c15,f6(B,A,c15)),A) | in(C,f8(B,A,c15)) | -in(D,powerset(relation_dom(c15))) | D != C | -in(relation_image(c15,C),A). [resolve(70,a,57,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | f7(B,A,c15) = f5(B,A,c15) | -in(C,f8(B,A,c15)) | in(f9(B,A,c15,C),powerset(relation_dom(c15))). [resolve(70,a,58,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | f7(B,A,c15) = f5(B,A,c15) | -in(C,f8(B,A,c15)) | f9(B,A,c15,C) = C. [resolve(70,a,59,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | f7(B,A,c15) = f5(B,A,c15) | -in(C,f8(B,A,c15)) | in(relation_image(c15,C),A). [resolve(70,a,60,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | f7(B,A,c15) = f5(B,A,c15) | in(C,f8(B,A,c15)) | -in(D,powerset(relation_dom(c15))) | D != C | -in(relation_image(c15,C),A). [resolve(70,a,61,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | in(relation_image(c15,f7(B,A,c15)),A) | -in(C,f8(B,A,c15)) | in(f9(B,A,c15,C),powerset(relation_dom(c15))). [resolve(70,a,62,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | in(relation_image(c15,f7(B,A,c15)),A) | -in(C,f8(B,A,c15)) | f9(B,A,c15,C) = C. [resolve(70,a,63,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | in(relation_image(c15,f7(B,A,c15)),A) | -in(C,f8(B,A,c15)) | in(relation_image(c15,C),A). [resolve(70,a,64,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | in(relation_image(c15,f7(B,A,c15)),A) | in(C,f8(B,A,c15)) | -in(D,powerset(relation_dom(c15))) | D != C | -in(relation_image(c15,C),A). [resolve(70,a,65,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | f7(B,A,c15) != f6(B,A,c15) | -in(C,f8(B,A,c15)) | in(f9(B,A,c15,C),powerset(relation_dom(c15))). [resolve(70,a,66,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | f7(B,A,c15) != f6(B,A,c15) | -in(C,f8(B,A,c15)) | f9(B,A,c15,C) = C. [resolve(70,a,67,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | f7(B,A,c15) != f6(B,A,c15) | -in(C,f8(B,A,c15)) | in(relation_image(c15,C),A). [resolve(70,a,68,b)].
% 0.72/1.04 Derived: -element(A,powerset(powerset(B))) | -function(c15) | f7(B,A,c15) != f6(B,A,c15) | in(C,f8(B,A,c15)) | -in(D,powerset(relation_dom(c15))) | D != C | -in(relation_image(c15,C),A). [resolve(70,a,69,b)].
% 0.72/1.04 71 -epsilon_transitive(A) | -epsilon_connected(A) | ordinal(A) # label(cc2_ordinal1) # label(axiom). [clausify(11)].
% 0.72/1.04 72 epsilon_transitive(f1(A)) # label(rc2_finset_1) # labCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------